Question

Given the sequence is defined by the explicit definition t_n=2^n-nt n = 2 n − n, find the 5th term of the sequence. (ie: t_5t 5)

A. 5

B. 10

C. 27

D. 32

Answer 1

*100% CORRECT ANSWERS

Answer 2

If the n-th term of a sequence be , t(n) equal to
`2^(n) - n` then the 5-th term is 27 but if the n-th term is (2n -n) then the 5-th term is 5.

Step-by-step explanation:

If the n-th term of a sequence be , t(n) =
`2^(n) - n`

then, the 5-th term is given by, t(5) =
`2^(5)- 5`

= 32 - 5

= 27

If the n-th term of a sequence be , t(n) = 2n - n = n

then, the 5-th term is given by, t(5) = 5